Bartosz Malman

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20222024

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math.FA2023

Revisiting mean-square approximation by polynomials in the unit disk

Bartosz Malman

For a positive finite Borel measure $μ$ compactly supported in the complex plane, the space $P^{2} (μ)$ is the closure of the analytic polynomials in the Lebesgue space $L^2…

math.FA2022

Thomson decompositions of measures in the disk

Bartosz Malman

We study the classical problem of identifying the structure of $P^{2} (μ)$ , the closure of analytic polynomials in the Lebesgue space $L^{2} (μ)$ of a compactly supported Borel measure $…